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Simplifying 6 + -2(n + 4) = -3(n + -1) + 8 Reorder the terms: 6 + -2(4 + n) = -3(n + -1) + 8 6 + (4 * -2 + n * -2) = -3(n + -1) + 8 6 + (-8 + -2n) = -3(n + -1) + 8 Combine like terms: 6 + -8 = -2 -2 + -2n = -3(n + -1) + 8 Reorder the terms: -2 + -2n = -3(-1 + n) + 8 -2 + -2n = (-1 * -3 + n * -3) + 8 -2 + -2n = (3 + -3n) + 8 Reorder the terms: -2 + -2n = 3 + 8 + -3n Combine like terms: 3 + 8 = 11 -2 + -2n = 11 + -3n Solving -2 + -2n = 11 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -2 + -2n + 3n = 11 + -3n + 3n Combine like terms: -2n + 3n = 1n -2 + 1n = 11 + -3n + 3n Combine like terms: -3n + 3n = 0 -2 + 1n = 11 + 0 -2 + 1n = 11 Add '2' to each side of the equation. -2 + 2 + 1n = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 1n = 11 + 2 1n = 11 + 2 Combine like terms: 11 + 2 = 13 1n = 13 Divide each side by '1'. n = 13 Simplifying n = 13
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